3 problems

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Borwein–Erdélyi–Ferguson–Lockhart conjecture on zeros of cosine polynomials
Let $A\subseteq\mathbb{N}$ with $|A|=n$ , and define the cosine polynomial … Let $Z(f_A)$ denote the number of zeros of $f_A$ in $[0,2\pi]$ . Borwein–Erdélyi–Ferguson–Lockhart conjec…
Conjecturesolvedcosine-polynomials number-theory real-zerosarXiv posted 2 days ago
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Borwein–Erdős–Ferguson–Lockhart conjecture on zeros of cosine polynomials
Borwein–Erdős–Ferguson–Lockhart conjecture. The number of zeros of $f_A$ tends to infinity as $N$ tends to infinity.
Conjecturerefutedcosine-polynomials real-zerosarXiv posted 2 days ago
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Littlewood's lower-bound conjecture for zeros of cosine polynomials
Littlewood's conjecture. The number of zeros of $f_A$ is possibly $N-1$ or not much less.
Conjecturerefutedcosine-polynomials real-zerosarXiv posted 2 days ago

Borwein–Erdélyi–Ferguson–Lockhart conjecture on zeros of cosine polynomials